@yaoyunshi@marcotomamichel@giulia_qp I am not an expert on these applications, but as far as I know there we are interested in statements involving the trace-distance which is related to the fidelity (via Fuchs-van der Graaf) and hence Uhlmann's theorem is relevant. Not sure how other relative entropies could help
Uhlmann's theorem states that the fidelity of two states rho and sigma can be expressed in terms of their purifications (where the fidelity simplifies). In https://t.co/TjOiEnHAIW we (with @giulia_qp and Renato Renner) generalize Uhlmann's theorem to Rényi relative entropies.
We finally understand how to (optimally) cut arbitrary two-qubit gates. Two interesting findings:
(1) cutting multiple gates jointly is always cheaper than cutting them individually
(2) classical communication does not help
---> check out https://t.co/ecvgnNAQkj
@_MonitSharma This work was 1.5 years before our recent paper https://t.co/ecvgnNAQkj. At that time we had (and still have some) protocols for cutting gates with LOCC that we don't know how to cut with LO. But we don't have a proof that it is not possible (with the same overhead) with LO.
Follow up work on the effective dimension (with M. Datres, GP. Leonardi, @AFigalli):
(i) stronger generalization bound
(ii) lower bound that can be computed efficiently (for Markovian models)
(iii) new simulation results
--> check out https://t.co/VecvWGkjgb
There is something mesmerising about seeing one's paper(s) completely plagiarised, theorem by theorem, without any reference, and posted on arXiv. Compare
https://t.co/MASJafZuTA
with our
https://t.co/L4vBjpUMB9
In recognition of his contributions to mathematical physics, Jürg Fröhlich of @ETH_en is being inducted into the National Academy of Sciences. Watch the #NAS159 livestream: https://t.co/9em3zvd1gK
New arXiv paper out! Purely classical machine learning :) in collaboration with @quantum_sutter@AFigalli and Stefan Woerner. We define and motivate a measure of capacity for ML models: the local effective dimension. We show how this quantity bounds generalization error 1/3
Happy to finally get this paper published and looking forward to seeing more results that bring error mitigation and correction together. @quantum_sutter https://t.co/gO6SElUIR0
I'm at #iccmp2021 today to receive the 2019 AHP prize awarded jointly with my co-authors Ralph Silva and @postquantum for https://t.co/3dz5iGTFIz. I wish they could be there. Nice to see @quantum_sutter (AHP prize 2018) and J. Bauch (AHP prize 2017) in person again!